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Finding the Third Proportional to 671,426,834 and 1,444,890,374

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Solution

The third proportional to 671,426,834 and 1,444,890,374 is: 3,109,360,673.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,426,834 : 1,444,890,374 = 1,444,890,374 : x
  2. Step 2: Convert to fraction form
    671,426,834/1,444,890,374 = 1,444,890,374/x
  3. Step 3: Cross multiply
    671,426,834x = 1,444,890,374 × 1,444,890,374
  4. Step 4: Simplify right side
    671,426,834x = 2,087,708,192,877,859,840
  5. Step 5: Solve for x
    x = 2,087,708,192,877,859,840/671,426,834
  6. Step 6: Final answer
    x = 3,109,360,673.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.